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7.5 Graphing Parabolas (Standard Form)PowerPoint Presentation

7.5 Graphing Parabolas (Standard Form)

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### 7.5 Graphing Parabolas (Standard Form)

Today’s Date:

1/13/12

Notes on Handout

Ch 7.5 – 7.7 BIG QUIZ is on Fri 1/20

Graphs of Parabolas

“Normal”

Vertex (0, 0)

Right 1 Up 1

Left 1 Up 1

Right 2 Up 4

Left 2 Up 4

“Skinny”

“Wide”

Properties of Parabolas

Standard Form:

1) Which way does it open? Wide or skinny?

“a” is positive – opens UP

“a” is negative – opens DOWN

│a│> 1 skinny

│a│< 1 wide

│a│= 1 normal

fraction

Properties cont…

4) Is the vertex a MAXIMUM or MINIMUM point?

a = (–)

If opens down, vertex is MAX

If opens up, vertex is MIN

a = (+)

5) Extreme value:

“y” part of the vertex

Properties cont…

( , 0)

when y value is zero

6) x-intercepts:

7) y-intercepts:

( 0, c)

c is y-intercept from SF

- Table of values:
- (only if you need to)

x

y

9) Graph

Ex 1) Graph

1) Which way does it open? Wide or skinny?

“a” = 3 is positive

– opens UP

│3│> 1

→ skinny

Equation!!

2) Axis of Symmetry (A of S)

Ex 1 cont…

3) Vertex:

4) Is the vertex a MAXIMUM or MINIMUM point?

a = (+) Opens up, vertex is MIN

5) Extreme value:

Ex 1 cont…

- Graph
- Use the A of S
- Normal: Up 1 right 1
- a = 3: Up 3 right 1
- Up 3 left 1

- Table of Values:
- Didn’t need it, but if you do, choose easy points for x and solve for y
- Usually: Choose -2, -1, 0, 1, 2 for x

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